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Svetllana [295]
3 years ago
5

Brainiest if correct or first -5/12-(-3/4)

Mathematics
2 answers:
pogonyaev3 years ago
8 0
The answer is 1/3 your welcome
irinina [24]3 years ago
5 0
Answer:

0.333

Step-by-step explanation:
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The owner of Matt’s Gas Station wants to study gasoline purchases of customers at his station. In 2017, the mean amount of gas
gulaghasi [49]

Answer:

Step-by-step explanation:

a) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 9

For the alternative hypothesis,

µ ≠ 9

This is a 2 tailed test

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 9

x = 9.9

σ = 2.5

n = 50

z = (9.9 - 9)/(2.5/√50) = 2.55

Looking at the normal distribution table, the probability corresponding to the area above the z score is 1 - 0.99461 = 0.00539

Recall, population mean is 9

The difference between sample sample mean and population mean is 9.9 - 9 = 0.9

Since the curve is symmetrical and it is a two tailed test, the x value for the left tail is 9 - 0.9 = 8.1

the x value for the right tail is 9 + 0.9 = 9.9

These means are higher and lower than the null mean. Thus, they are evidence in favour of the alternative hypothesis. We will look at the area in both tails. Since it is showing in one tail only, we would double the area. We already got the area above the z score as z = 0.00539

We would double this area to include the area in the left tail of z = - 2.55. Thus

p = 0.00539 × 2 = 0.01078

Since alpha, 0.01 < 0.01078, we would reject the null hypothesis

But we are told to use the critical value approach, then

Since α = 0.01, the critical value is determined from the normal distribution table.

For the left, α/2 = 0.01/2 = 0.005

The z score for an area to the left of 0.005 is - 2.575

For the right, α/2 = 1 - 0.005 = 0.995

The z score for an area to the right of 0.995 is 2.575

In order to reject the null hypothesis, the test statistic must be smaller than - 2.575 or greater than 2.575

Since - 2.55 > - 2.575 and 2.55 < 2.575, we would reject the null hypothesis. This corresponds to our previous decision.

b) we would assume normal distribution because the sample size is sufficiently large and the population standard deviation is known.

c) Confidence interval is written in the form,

(Sample mean ± margin of error)

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

The z score for confidence level of 99% is 2.58

Margin of error = 2.58 × 2.5/√50 = 0.91

Confidence interval = 9.9 ± 0.91

The lower end of the confidence interval is

9.9 - 0.91 = 8.99

Therefore, p = 9 will be contained in the interval.

4 0
3 years ago
If a and b are odd integers,then a-b is an even integer identify the conclusion
garri49 [273]
Any two odd integers will always add up to an even number. Examples include 1+1=2, 15+19=34, etc. 
6 0
3 years ago
HOW MANY DEGREES IN A SUPPLEMENTARY ANGLE???
monitta

Answer:

180 degrees

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Which of the following responses most accurately depicts the correct sequence of activities in the strategic planning process? a
boyakko [2]

Answer:

A. strategic analysis - guiding principles - strategic objectives - flow-down objectives.

Step-by-step explanation:

Strategic planning is a process that helps organisations to better implement their strategic plans.

Strategic analysis involves internal and external analysis of an organisation's environment to identify it's strengths, weaknesses, opportunities and threats.

Guiding principles guide an organization throughout all circumstances, they ensure the survival of an organisation's long term values irrespective of changes in its goals, strategies or type of work.

Strategic objectives are the critical goals an organisation is trying to achieve over a period of time. They are a realization of goals that translates to more specific plans and projects.

Flow-down objectives ensure that the appropriate goals for an organisation are established.

5 0
3 years ago
Based off the table how long will it take to mow one lawn
weqwewe [10]
35 minutes for each lawn
Because 175 minus 5 equals 35 
So the rule should be 35 minutes per lawn.
Now if you plug this rule into the next two numbers (245 and 7) and you divide them, you should get 35, and you do.

I hope I helped
Please make me brainliest
6 0
3 years ago
Read 2 more answers
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